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What is the Least Common Multiple of 12667 and 12672?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12667 and 12672 is 160516224.

LCM(12667,12672) = 160516224

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Least Common Multiple of 12667 and 12672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12667 and 12672, than apply into the LCM equation.

GCF(12667,12672) = 1
LCM(12667,12672) = ( 12667 × 12672) / 1
LCM(12667,12672) = 160516224 / 1
LCM(12667,12672) = 160516224

Least Common Multiple (LCM) of 12667 and 12672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12667 and 12672. First we will calculate the prime factors of 12667 and 12672.

Prime Factorization of 12667

Prime factors of 12667 are 53, 239. Prime factorization of 12667 in exponential form is:

12667 = 531 × 2391

Prime Factorization of 12672

Prime factors of 12672 are 2, 3, 11. Prime factorization of 12672 in exponential form is:

12672 = 27 × 32 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 12667 and 12672.

LCM(12667,12672) = 531 × 2391 × 27 × 32 × 111
LCM(12667,12672) = 160516224